33649356 has 48 divisors (see below), whose sum is σ = 86633568. Its totient is φ = 10099200.

The previous prime is 33649351. The next prime is 33649393. The reversal of 33649356 is 65394633.

It is a super-2 number, since 2×33649356² = 2264558318429472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (33649351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3766 + ... + 9026.

It is an arithmetic number, because the mean of its divisors is an integer number (1804866).

Almost surely, 2^33649356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33649356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43316784).

33649356 is an abundant number, since it is smaller than the sum of its proper divisors (52984212).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33649356 is a wasteful number, since it uses less digits than its factorization.

33649356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5322 (or 5320 counting only the distinct ones).

The product of its digits is 174960, while the sum is 39.

The square root of 33649356 is about 5800.8064956521. The cubic root of 33649356 is about 322.8436526664.

It can be divided in two parts, 3364 and 9356, that added together give a triangular number (12720 = T₁₅₉).

The spelling of 33649356 in words is "thirty-three million, six hundred forty-nine thousand, three hundred fifty-six".